Local indicability and relative presentations of groups
type: Item
instance of: scholarly article
title: Local indicability and relative presentations of groups
zbMATH Open document ID: 1016.20020
DOI: 10.1016/S0022-4049(02)00144-5
author: Julia D. Fredericks
published in: Journal of Pure and Applied Algebra
publication date: 2003-03-09T00:00:00Z
review text: A group is called locally indicable if every of its non-trivial finitely generated subgroups admits a surjection onto the integers. In this paper the author generalizes under certain hypotheses three central results of one-relator group theory: Magnus' Freiheitssatz, Lyndon's identity theorem, and Brodskii's theorem on locally indicability of torsion-free one-relator groups.
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 57M07
Mathematics Subject Classification ID: 20E25
zbMATH DE Number: 1878461
zbMATH Keywords: relative presentations
zbMATH Keywords: locally indicable groups
zbMATH Keywords: finitely generated subgroups
zbMATH Keywords: one-relator groups
reviewed by: Igor Subbotin
MaRDI profile type: Publication
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full work available at URL: s0022-4049(02)00144-5
OpenAlex ID: W2070848417
description: scientific article; zbMATH DE number 1878461